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It means you must have at least 600 votes on questions (as opposed to votes on answers) and your amount of votes on questions must be at least 25% of your total amount of votes.

Each time somebody comes and ask for this, the answer he gets is something like "It's quite clear isn't it". While the phrasing is perfectly correct the fact that people keep asking for details might indicate that the badge deserves a verbose explanation.

@DrDro I don't think you are giving the correct definition. because according to your definition, I must have at least 2400 votes so that 25% of them become 600 which should be cast on questions. see this profile stackoverflow.com/users/366495/hal. he has only voted 640 times and he got the Electorate badge.
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Zain ShaikhDec 8 '10 at 9:38

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@Zain: 600/640 = 93.75%, which is certainly more than the 25% requested. DrDro's definition is clearly saying "at least 25%", while you are misreading it as "at most 25%".
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ЯegDwightDec 8 '10 at 9:56

@RegDwight than it means, 600/610 = 98.36%. I have voted 610 times. and acc to your calculation it becomes 98.36%, than why did I still not get that badge?
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Zain ShaikhDec 8 '10 at 10:14

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@Zain: because you have not voted for 600 questions. You must have at least 600 votes on questions (as opposed to votes on answers). It's not exactly rocket science.
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ЯegDwightDec 8 '10 at 10:18

@RegDwight okay. It means that the person I mention in my first comment Hal might have voted 600 times on questions and only 40 times on answers, right?
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Zain ShaikhDec 8 '10 at 10:20

@Zain: precisely. In fact, for all we know, he might have even spent all of his votes on questions and never voted for answers at all.
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ЯegDwightDec 8 '10 at 10:23

@Zain: the 25% is the minimum threshold for getting the Electorate badge. For example, if you vote on 600 questions after voting on 10,000 answers, you won't get this badge, because 600/10,600 = 5.7%, and that is smaller than 25%. You have to meet both criteria: 1) vote on at least 600 questions and 2) vote on at most 3× as many answers.
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ЯegDwightDec 8 '10 at 10:29

@RegDwight, it means that I will have to vote 600 questions and 1800 answers?
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Zain ShaikhDec 8 '10 at 10:36

@Zain: it means that when you have voted for exactly 600 questions, you may have voted for at most 1800 answers. If you have voted for 1801 answers, you will have to vote for 601 questions. If you have voted for 10,000 answers, you will have to vote for 3,334 questions.
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ЯegDwightDec 8 '10 at 10:42